Magma V2.19-8 Tue Aug 20 2013 16:16:57 on localhost [Seed = 2884253563] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1212 geometric_solution 5.11048427 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429872564805 0.512284753208 0 3 4 2 0132 1230 3012 2103 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.970461126920 0.872002307224 2 0 2 1 2031 0132 1302 2103 0 0 0 0 0 1 -1 0 1 0 -1 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517593573965 0.348903710514 5 5 1 0 0132 3201 3012 0132 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.838629358428 0.710704608614 6 1 0 6 0132 1230 0132 1023 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.921335136839 0.772459418496 3 5 3 5 0132 2310 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.328399760493 0.895458577530 4 6 6 4 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.710085565360 0.376271459179 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0110_2']), 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0110_2'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0110_2'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_0110_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_1, c_0101_3, c_0101_6, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 1794852/1315*c_0110_2^19 + 23274688/1315*c_0110_2^17 - 123086781/1315*c_0110_2^15 + 69914167/263*c_0110_2^13 - 593438444/1315*c_0110_2^11 + 655416171/1315*c_0110_2^9 - 545638718/1315*c_0110_2^7 + 398454727/1315*c_0110_2^5 - 43684224/263*c_0110_2^3 + 53810658/1315*c_0110_2, c_0011_0 - 1, c_0011_3 + 96/263*c_0110_2^19 - 1179/263*c_0110_2^17 + 5867/263*c_0110_2^15 - 15706/263*c_0110_2^13 + 25485/263*c_0110_2^11 - 27748/263*c_0110_2^9 + 23312/263*c_0110_2^7 - 16431/263*c_0110_2^5 + 8456/263*c_0110_2^3 - 2249/263*c_0110_2, c_0011_4 + 193/263*c_0110_2^19 - 2247/263*c_0110_2^17 + 10313/263*c_0110_2^15 - 24502/263*c_0110_2^13 + 33672/263*c_0110_2^11 - 30548/263*c_0110_2^9 + 23416/263*c_0110_2^7 - 15519/263*c_0110_2^5 + 5450/263*c_0110_2^3 - 97/263*c_0110_2, c_0101_1 - 132/263*c_0110_2^19 + 1391/263*c_0110_2^17 - 5470/263*c_0110_2^15 + 10221/263*c_0110_2^13 - 9761/263*c_0110_2^11 + 6199/263*c_0110_2^9 - 4965/263*c_0110_2^7 + 2243/263*c_0110_2^5 + 734/263*c_0110_2^3 - 228/263*c_0110_2, c_0101_3 + c_0110_2^2 - 1, c_0101_6 - 62/263*c_0110_2^19 + 745/263*c_0110_2^17 - 3422/263*c_0110_2^15 + 7634/263*c_0110_2^13 - 8980/263*c_0110_2^11 + 6765/263*c_0110_2^9 - 5237/263*c_0110_2^7 + 3034/263*c_0110_2^5 - 245/263*c_0110_2^3 - 131/263*c_0110_2, c_0110_2^20 - 13*c_0110_2^18 + 69*c_0110_2^16 - 197*c_0110_2^14 + 337*c_0110_2^12 - 376*c_0110_2^10 + 316*c_0110_2^8 - 232*c_0110_2^6 + 129*c_0110_2^4 - 34*c_0110_2^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB